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Finding the Fourth Proportional to 66,966.31, 100,449.47 and 52,186.30

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Solution

The fourth proportional to 66,966.31, 100,449.47 and 52,186.30 is: 78,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,966.31 : 100,449.47 = 52,186.30 : x
  2. Step 2: Convert to fraction form
    66,966.31/100,449.47 = 52,186.30/x
  3. Step 3: Cross multiply
    66,966.31x = 100,449.47 × 52,186.30
  4. Step 4: Simplify right side
    66,966.31x = 5,242,085,413.08
  5. Step 5: Solve for x
    x = 5,242,085,413.08/66,966.31
  6. Step 6: Final answer
    x = 78,279.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.